2492978880 has 448 divisors, whose sum is σ = 9451238400. Its totient is φ = 556351488.

The previous prime is 2492978869. The next prime is 2492978903. The reversal of 2492978880 is 888792942.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2492978880² = 12429887392252108800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2492978880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22061704 + ... + 22061816.

Almost surely, 2^2492978880 is an apocalyptic number.

2492978880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2492978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725619200).

2492978880 is an abundant number, since it is smaller than the sum of its proper divisors (6958259520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2492978880 is a wasteful number, since it uses less digits than its factorization.

2492978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The square root of 2492978880 is about 49929.7394345294. The cubic root of 2492978880 is about 1355.9370668924.

The spelling of 2492978880 in words is "two billion, four hundred ninety-two million, nine hundred seventy-eight thousand, eight hundred eighty".